Algebra/Number Theory Seminar

Elliptic Curves with Nonabelian Entanglements

Kenneth McMurdy, Ramapo college, NJ

Wednesday, February 21st, 2018
12:00 PM
- 1:00 PM
Hylan 1106A

Let be a number field. An elliptic curve is said to have a non-abelian entanglement if there are relatively prime positive integers, and , such that is a non-abelian Galois extension of . In this talk, we will discuss our (joint with Nathan Jones) ongoing efforts to classify, using explicit methods, all infinite families of elliptic curves , for a fixed , that have a non-abelian entanglement.